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koban [17]
3 years ago
15

-10x+5y=0 -4x-6y=54 find the solution of this system of equations

Mathematics
1 answer:
yaroslaw [1]3 years ago
6 0
We have the first equation:
-10x + 5y = zero
we can divide all terms by 5 to get:
-2x + y = zero
This means that:
y = 2x .................> equation I

We now will look at the second equation:
<span>-4x-6y=54
</span>we will substitute with equation I in this equation to get:
<span>-4x-6(2x)=54
-4x - 12x = 54
-16x = 54
x = -3.375

Substitute with the value of x in equation I to get y as follows:
y = 2(3.375) = -6.75

Therefore, for the given system of equations:
x = -3.375
y = -6.75</span>
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Stephanie goes shopping on Sunday, she has $60. After buying 20 chocolates, she has $10 left. How much did the chocolate cost?
m_a_m_a [10]

Answer: x=2.5


Step-by-step explanation:

First we need to set up and equation

10= 60 - 20x

where x is the amount the cookies cost

subtract 60 from both sides

-50=- 20x

now divide each side by 20 so hat we can isolate the x

-50/-20= x

x= 2.5

now to check just multiply it by 20 then subtract from 60.

2.5 x 10= 50

60-50=10


6 0
4 years ago
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Simplify (5+11i) - (16-4i) +9i.
lisabon 2012 [21]

Answer:

5+11i-16-4i+9i

5-16+11i-4i+9i

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-11+16i

Step-by-step explanation:

First, get the like terms together. Then add or subtract until its simplified. Simplified is -11+16i.

6 0
2 years ago
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Evaluate the function <br><br> f(x) = 3x^2 + 4x + 19<br><br> Find f(-7)
yanalaym [24]

Answer:

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3 0
1 year ago
<img src="https://tex.z-dn.net/?f=%20-%2030%20%3D%202%28x%20-%2097%29" id="TexFormula1" title=" - 30 = 2(x - 97)" alt=" - 30 = 2
Korolek [52]
Hey there! 

In order to find out the answer to this question, we can distribute 

-30 = 2(x - 97) \\ \\ \\ 2(x) = 2x \\ \\ 2(97) = 197

Flip your problem around! 

2x - 194 = -30

Add by 194 on each of your sides 

Like:  2x - 194 + 194 \\ \\ \\ -30 + 194

Cancel out: -194 + 194  because they would give you the outcome of 0

Keep: -30 + 194 [/tex] because that'll give you: [tex]164

Your problem becomes: 2x = 164

Now, we have to divide by 2 on each of the sides

Like: \frac{2x}{2}  =  \frac{164}{2}

Cancel: \frac{2x}{2} because it will give you a outcome of 1

Keep: \frac{164}{2} because this will give you your answer

Answer: x = 82

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)
7 0
3 years ago
Solve the inequality. 3x + 7 &gt; 4x + 2
ankoles [38]
5>x because you can subtract 5 from both sides and 3x from both sides

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